{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Aperture: Float by Stop Size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import optiland.backend as be\n",
    "from optiland.optic import Optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class CookeTriplet(Optic):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        self.add_surface(index=0, radius=be.inf, thickness=be.inf)\n",
    "        self.add_surface(index=1, radius=22.01359, thickness=3.25896, material=\"SK16\")\n",
    "        self.add_surface(index=2, radius=-435.76044, thickness=6.00755)\n",
    "        self.add_surface(\n",
    "            index=3, radius=-22.21328, thickness=0.99997, material=(\"F2\", \"schott\")\n",
    "        )\n",
    "        self.add_surface(index=4, radius=20.29192, thickness=4.75041, is_stop=True)\n",
    "        self.add_surface(index=5, radius=79.68360, thickness=2.95208, material=\"SK16\")\n",
    "        self.add_surface(index=6, radius=-18.39533, thickness=42.20778)\n",
    "        self.add_surface(index=7)\n",
    "\n",
    "        self.set_aperture(aperture_type=\"float_by_stop_size\", value=7.6)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0)\n",
    "        self.add_field(y=14)\n",
    "        self.add_field(y=20)\n",
    "\n",
    "        self.add_wavelength(value=0.48)\n",
    "        self.add_wavelength(value=0.55, is_primary=True)\n",
    "        self.add_wavelength(value=0.65)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = CookeTriplet()\n",
    "lens.draw()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
